Least Common Multiple of 47/264, 8209/7410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/264, 8209/7410 quickly i.e. 385823/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/264, 8209/7410 is 385823/6.

LCM(47/264, 8209/7410) = 385823/6

LCM of 47/264, 8209/7410

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 47/264,8209/7410

Given numbers are 47/264,8209/7410

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 47,8209

Least Common Multiple of Numerators i.e. LCM of 47,8209 is 385823.

GCF of Denominators means GCF of 264,7410 as per the given fractions.

GCF of 264,7410 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,8209

LCM of Fractions 47/264,8209/7410 is 385823/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 385823

Least Common Multiple of 47,8209 with GCF Formula

Least Common Multiple of 47,8209 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 47,8209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,8209) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,8209) x common factors =1 x 1 = 1

LCM(47,8209) = ( 47 × 8209 ) / 1

LCM(47,8209) = 385823 / 1

LCM(47,8209) = 385823


Lets's calculate GCF of 264,7410

2 264, 7410
3 132, 3705
44, 1235

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385823/6

Therefore the LCM of Fractions 47/264,8209/7410 is 385823/6

Greatest Common Factor of 264,7410 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,7410 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410

Greatest Common Factor

We found the factors 264,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 264,7410 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 47/264, 8209/7410

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 47/264, 8209/7410?

Answer: LCM of Numerators as per given numbers 47/264, 8209/7410 is

LCM of Numerators i.e. for 47,8209 is 385823

GCF of denominators i.e. for 264,7410 is 6.

Thus, LCM of Fractions is 385823/6.Finally, LCM of Fractions for 47/264, 8209/7410 is 385823/6.